PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Stephanie Zerby.

Title:Connecting the geometry and topology of hyperbolic 3-manifolds
Seminar:Job Candidate Talk
Speaker:Ian Biringer
Abstract:
In the past decade, there have been a number of exciting developments in the geometry and topology of 3-manifolds. Perelman's resolution of the Poincare conjecture and the solution of Thurston's Ending Lamination Conjecture by Brock-Canary-Minsky both shed new light on how their geometry is constrained by their topology. However, the problem of controlling geometric invariants (volume, injectivity radius, etc.) of a closed hyperbolic 3-manifold with topological information is still very open. We will survey some results in this direction and illustrate in more depth some geometric reflections of the `rank' of a hyperbolic 3-manifold, the minimal number of elements needed to generate its fundamental group.

Room Reservation Information

Room Number:MB114
Date:01 / 19 / 2012
Time:12:45pm - 01:45pm